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  • Write ‘True’ or ‘False’ and justify your answer in each of the following: tan 47 degree by cot 43 degree = 1

Write ‘True’ or ‘False’ and justify your answer in each of the following:

\frac{\tan 47^{\circ}}{\cot 43^{\circ}}= 1

                        

Answers (1)

 \frac{\tan 47^{\circ}}{\cot 43^{\circ}}= 1
Taking L.H.S.
\frac{\tan 47^{\circ}}{\cot 43^{\circ}}
\frac{\tan \left ( 90^{\circ} -43^{\circ}\right )}{\cot 43^{\circ}}     \left ( \because 47= \left ( 90-43 \right ) \right )
\frac{\cot 43^{\circ}}{\cot 43^{\circ}}= 1            \left ( \because \tan \left ( 90-\theta \right )= \cot \theta \right )
Hence L.H.S. = R.H.S.
So, the given expression is true.
 

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infoexpert27

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